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Simplifying 9x2 + 2y2 + 100y + -72 + 19 = 0 Reorder the terms: -72 + 19 + 9x2 + 100y + 2y2 = 0 Combine like terms: -72 + 19 = -53 -53 + 9x2 + 100y + 2y2 = 0 Solving -53 + 9x2 + 100y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 9x2 + 100y + 53 + 2y2 = 0 + 53 Reorder the terms: -53 + 53 + 9x2 + 100y + 2y2 = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 9x2 + 100y + 2y2 = 0 + 53 9x2 + 100y + 2y2 = 0 + 53 Combine like terms: 0 + 53 = 53 9x2 + 100y + 2y2 = 53 Add '-100y' to each side of the equation. 9x2 + 100y + -100y + 2y2 = 53 + -100y Combine like terms: 100y + -100y = 0 9x2 + 0 + 2y2 = 53 + -100y 9x2 + 2y2 = 53 + -100y Add '-2y2' to each side of the equation. 9x2 + 2y2 + -2y2 = 53 + -100y + -2y2 Combine like terms: 2y2 + -2y2 = 0 9x2 + 0 = 53 + -100y + -2y2 9x2 = 53 + -100y + -2y2 Divide each side by '9'. x2 = 5.888888889 + -11.11111111y + -0.2222222222y2 Simplifying x2 = 5.888888889 + -11.11111111y + -0.2222222222y2 Reorder the terms: -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 5.888888889 + -11.11111111y + -0.2222222222y2 + -5.888888889 + 11.11111111y + 0.2222222222y2 Reorder the terms: -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 5.888888889 + -5.888888889 + -11.11111111y + 11.11111111y + -0.2222222222y2 + 0.2222222222y2 Combine like terms: 5.888888889 + -5.888888889 = 0.000000000 -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 0.000000000 + -11.11111111y + 11.11111111y + -0.2222222222y2 + 0.2222222222y2 -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = -11.11111111y + 11.11111111y + -0.2222222222y2 + 0.2222222222y2 Combine like terms: -11.11111111y + 11.11111111y = 0.00000000 -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 0.00000000 + -0.2222222222y2 + 0.2222222222y2 -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = -0.2222222222y2 + 0.2222222222y2 Combine like terms: -0.2222222222y2 + 0.2222222222y2 = 0.0000000000 -5.888888889 + x2 + 11.11111111y + 0.2222222222y2 = 0.0000000000 The solution to this equation could not be determined.
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